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Finding the Third Proportional to 138,199.50 and 281,134.13

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Solution

The third proportional to 138,199.50 and 281,134.13 is: 571,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.50 : 281,134.13 = 281,134.13 : x
  2. Step 2: Convert to fraction form
    138,199.50/281,134.13 = 281,134.13/x
  3. Step 3: Cross multiply
    138,199.50x = 281,134.13 × 281,134.13
  4. Step 4: Simplify right side
    138,199.50x = 79,036,396,239.52
  5. Step 5: Solve for x
    x = 79,036,396,239.52/138,199.50
  6. Step 6: Final answer
    x = 571,900.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.